Entropy Group in Parastatistics of Quantum Nonextensive Systems


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Abstract

An Abelian group of entropies is defined and its representations for quantum nonextensive systems with a composition law having quadratic nonlinearity are determined. Its most general properties are given, and a connection with the hyperbolic angle is established. An extension of parastatistics is presented, in particular cases of which known results follow.

About the authors

R. G. Zaripov

Institute of Mechanics and Machine Building of the Kazan Scientific Center of the Russian Academy of Sciences

Author for correspondence.
Email: zaripov@imm.knc.ru
Russian Federation, Kazan

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